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Finding the Fourth Proportional to 2,075.84, 2,864.65 and 1,144.34

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Solution

The fourth proportional to 2,075.84, 2,864.65 and 1,144.34 is: 1,579.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075.84 : 2,864.65 = 1,144.34 : x
  2. Step 2: Convert to fraction form
    2,075.84/2,864.65 = 1,144.34/x
  3. Step 3: Cross multiply
    2,075.84x = 2,864.65 × 1,144.34
  4. Step 4: Simplify right side
    2,075.84x = 3,278,133.58
  5. Step 5: Solve for x
    x = 3,278,133.58/2,075.84
  6. Step 6: Final answer
    x = 1,579.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.